“Complete-simple” distributive lattices
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- by G. Grätzer and E. T. Schmidt PDF
- Proc. Amer. Math. Soc. 119 (1993), 63-69 Request permission
Abstract:
It is well known that the only simple distributive lattice is the two-element chain. We can generalize the concept of a simple lattice to complete lattices as follows: a complete lattice is complete-simple if it has only the two trivial complete congruences. In this paper we show the existence of infinite complete-simple distributive lattices.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 119 (1993), 63-69
- MSC: Primary 06B15; Secondary 06B10, 06D05
- DOI: https://doi.org/10.1090/S0002-9939-1993-1150651-0
- MathSciNet review: 1150651